LCM of 963, 782, 986, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 782, 986, 900 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 963, 782, 986, 900. So, keep reading to learn more.
Given numbers are 963,782,986,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,782,986,900 is 1091945700.
Find LCM of 963,782,986,900 with Prime Factorization
| 2 | 963, 782, 986, 900 |
| 3 | 963, 391, 493, 450 |
| 3 | 321, 391, 493, 150 |
| 17 | 107, 391, 493, 50 |
| 107, 23, 29, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 107 x 23 x 29 x 50 = 1091945700
Therefore, the lowest common multiple of 963,782,986,900 is 1091945700.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
963 x 782 x 986 x 900 = 668270768400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
963 : 1, 3, 9, 107, 321, 963
782 : 1, 2, 17, 23, 34, 46, 391, 782
986 : 1, 2, 17, 29, 34, 58, 493, 986
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,782,986,900, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
782:2x 17x 23
986:2x 17x 29
900:2x 2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 17 = 612
Therefore, the value for common factors is 612.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 668270768400/(1x612)
LCM = 668270768400/612
LCM = 1091945700
Thus, we can understand that the LCM of 963,782,986,900 is 1091945700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 782, 986, 900
1. What is the LCM of 963, 782, 986, 900?
Answer: LCM of 963, 782, 986, 900 is 1091945700.
2. How to calculate the LCM of 963, 782, 986, 900?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 963, 782, 986, 900.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.